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Finding the Third Proportional to 3,425.81 and 7,337.63

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Solution

The third proportional to 3,425.81 and 7,337.63 is: 15,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.81 : 7,337.63 = 7,337.63 : x
  2. Step 2: Convert to fraction form
    3,425.81/7,337.63 = 7,337.63/x
  3. Step 3: Cross multiply
    3,425.81x = 7,337.63 × 7,337.63
  4. Step 4: Simplify right side
    3,425.81x = 53,840,740.64
  5. Step 5: Solve for x
    x = 53,840,740.64/3,425.81
  6. Step 6: Final answer
    x = 15,716.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.